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Simplifying -7(w + 1) = -3(8w + -3) + 7w Reorder the terms: -7(1 + w) = -3(8w + -3) + 7w (1 * -7 + w * -7) = -3(8w + -3) + 7w (-7 + -7w) = -3(8w + -3) + 7w Reorder the terms: -7 + -7w = -3(-3 + 8w) + 7w -7 + -7w = (-3 * -3 + 8w * -3) + 7w -7 + -7w = (9 + -24w) + 7w Combine like terms: -24w + 7w = -17w -7 + -7w = 9 + -17w Solving -7 + -7w = 9 + -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. -7 + -7w + 17w = 9 + -17w + 17w Combine like terms: -7w + 17w = 10w -7 + 10w = 9 + -17w + 17w Combine like terms: -17w + 17w = 0 -7 + 10w = 9 + 0 -7 + 10w = 9 Add '7' to each side of the equation. -7 + 7 + 10w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 10w = 9 + 7 10w = 9 + 7 Combine like terms: 9 + 7 = 16 10w = 16 Divide each side by '10'. w = 1.6 Simplifying w = 1.6
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